The state fair is coming to town! Nalia has saved up $12 to spend at the fair on games and rides. Games cost $2 each and rides cost $3 each. Nalia uses the expression 2x + 3y to determine the total cost for x games and y rides.
Select one of the following combinations of games and rides that Nalia can afford with her $12 budget
A) 5 games and 1 ride
B) 3 games and 3 rides
C) 1 game and 4 rides
D) 0 games and 4 rides
To determine if Nalia can afford a certain combination, we can substitute the values into the expression and see if the result is less than or equal to $12.
A) 2(5) + 3(1) = 10 + 3 = 13 (Nalia cannot afford this combination)
B) 2(3) + 3(3) = 6 + 9 = 15 (Nalia cannot afford this combination)
C) 2(1) + 3(4) = 2 + 12 = 14 (Nalia cannot afford this combination)
D) 2(0) + 3(4) = 0 + 12 = 12 (Nalia can afford this combination)
Therefore, Nalia can afford the combination of 0 games and 4 rides (D).